Strong and $\Delta$-convergence theorems for total asymptotically nonexpansive mappings in CAT(0)

نویسندگان
Saluja, G.S. ID 1
Singh, Yumnam Rohen ID 2
Nashine, Hemant Kumar ID 3

1 Department of Mathematics, Govt. Nagarjuna P.G. College of Science, Raipur - 492010 (C.G.), India

2 National Institute of Technology Manipur, Takyelpat, Imphal-795001, Manipur, India

3 Department of Mathematics, Texas A & M University - Kingsville - 78363-8202, Texas, USA

doi
10.22075/ijnaa.2017.2504
چکیده

In this work we use the Noor iteration process for total asymptotically nonexpansive mapping to establish the strong and $\Delta$-convergence theorems in the framework of CAT(0) spaces. By doing this, some of the results existing in the current literature  generalize, unify and extend.

کلیدواژه‌ها
total asymptotically nonexpansive mapping, $Delta$-convergence, strong convergence, Noor iteration process, CAT(0) space